Weierstrass gap sequences and their weights on tropical curves
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
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| _version_ | 1866915876287021056 |
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| author | Amini, Omid Kawaguchi, Shu |
| author_facet | Amini, Omid Kawaguchi, Shu |
| contents | Given a divisor on a tropical curve, we associate to each point of the curve a Weierstrass gap sequence. We investigate structural properties of these gap sequences and explore their relationship with the Weierstrass gap sequences of line bundles on algebraic curves via the tropicalization process. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_19393 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Weierstrass gap sequences and their weights on tropical curves Amini, Omid Kawaguchi, Shu Algebraic Geometry Given a divisor on a tropical curve, we associate to each point of the curve a Weierstrass gap sequence. We investigate structural properties of these gap sequences and explore their relationship with the Weierstrass gap sequences of line bundles on algebraic curves via the tropicalization process. |
| title | Weierstrass gap sequences and their weights on tropical curves |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2603.19393 |